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Finding the Third Proportional to 45,932.50 and 70,979.50

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Solution

The third proportional to 45,932.50 and 70,979.50 is: 109,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,932.50 : 70,979.50 = 70,979.50 : x
  2. Step 2: Convert to fraction form
    45,932.50/70,979.50 = 70,979.50/x
  3. Step 3: Cross multiply
    45,932.50x = 70,979.50 × 70,979.50
  4. Step 4: Simplify right side
    45,932.50x = 5,038,089,420.25
  5. Step 5: Solve for x
    x = 5,038,089,420.25/45,932.50
  6. Step 6: Final answer
    x = 109,684.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.